Monoparametric family of metrics derived from classical Jensen–Shannon divergence

Autores
Osán, Tristán Martín; Bussandri, Diego; Lamberti, Pedro Walter
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Jensen–Shannon divergence is a well known multi-purpose measure of dissimilarity between probability distributions. It has been proven that the square root of this quantity is a true metric in the sense that, in addition to the basic properties of a distance, it also satisfies the triangle inequality. In this work we extend this last result to prove that in fact it is possible to derive a monoparametric family of metrics from the classical Jensen–Shannon divergence. Motivated by our results, an application into the field of symbolic sequences segmentation is explored. Additionally, we analyze the possibility to extend this result into the quantum realm.
Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Bussandri, Diego. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina
Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina
Materia
Information Theory
Jensen-Shannon Divergence
Metrics
Quantum Distances
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/65552
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/65552
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Monoparametric family of metrics derived from classical Jensen–Shannon divergenceOsán, Tristán MartínBussandri, DiegoLamberti, Pedro WalterInformation TheoryJensen-Shannon DivergenceMetricsQuantum Distanceshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Jensen–Shannon divergence is a well known multi-purpose measure of dissimilarity between probability distributions. It has been proven that the square root of this quantity is a true metric in the sense that, in addition to the basic properties of a distance, it also satisfies the triangle inequality. In this work we extend this last result to prove that in fact it is possible to derive a monoparametric family of metrics from the classical Jensen–Shannon divergence. Motivated by our results, an application into the field of symbolic sequences segmentation is explored. Additionally, we analyze the possibility to extend this result into the quantum realm.Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaFil: Bussandri, Diego. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; ArgentinaFil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; ArgentinaElsevier Science2018-04-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/65552Osán, Tristán Martín; Bussandri, Diego; Lamberti, Pedro Walter; Monoparametric family of metrics derived from classical Jensen–Shannon divergence; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 495; 1-4-2018; 336-3440378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437117313225info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2017.12.073info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:33:52Zoai:ri.conicet.gov.ar:11336/65552instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:33:52.917CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Monoparametric family of metrics derived from classical Jensen–Shannon divergence
title Monoparametric family of metrics derived from classical Jensen–Shannon divergence
spellingShingle Monoparametric family of metrics derived from classical Jensen–Shannon divergence
Osán, Tristán Martín
Information Theory
Jensen-Shannon Divergence
Metrics
Quantum Distances
title_short Monoparametric family of metrics derived from classical Jensen–Shannon divergence
title_full Monoparametric family of metrics derived from classical Jensen–Shannon divergence
title_fullStr Monoparametric family of metrics derived from classical Jensen–Shannon divergence
title_full_unstemmed Monoparametric family of metrics derived from classical Jensen–Shannon divergence
title_sort Monoparametric family of metrics derived from classical Jensen–Shannon divergence
dc.creator.none.fl_str_mv Osán, Tristán Martín
Bussandri, Diego
Lamberti, Pedro Walter
author Osán, Tristán Martín
author_facet Osán, Tristán Martín
Bussandri, Diego
Lamberti, Pedro Walter
author_role author
author2 Bussandri, Diego
Lamberti, Pedro Walter
author2_role author
author
dc.subject.none.fl_str_mv Information Theory
Jensen-Shannon Divergence
Metrics
Quantum Distances
topic Information Theory
Jensen-Shannon Divergence
Metrics
Quantum Distances
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Jensen–Shannon divergence is a well known multi-purpose measure of dissimilarity between probability distributions. It has been proven that the square root of this quantity is a true metric in the sense that, in addition to the basic properties of a distance, it also satisfies the triangle inequality. In this work we extend this last result to prove that in fact it is possible to derive a monoparametric family of metrics from the classical Jensen–Shannon divergence. Motivated by our results, an application into the field of symbolic sequences segmentation is explored. Additionally, we analyze the possibility to extend this result into the quantum realm.
Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Bussandri, Diego. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina
Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina
description Jensen–Shannon divergence is a well known multi-purpose measure of dissimilarity between probability distributions. It has been proven that the square root of this quantity is a true metric in the sense that, in addition to the basic properties of a distance, it also satisfies the triangle inequality. In this work we extend this last result to prove that in fact it is possible to derive a monoparametric family of metrics from the classical Jensen–Shannon divergence. Motivated by our results, an application into the field of symbolic sequences segmentation is explored. Additionally, we analyze the possibility to extend this result into the quantum realm.
publishDate 2018
dc.date.none.fl_str_mv 2018-04-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/65552
Osán, Tristán Martín; Bussandri, Diego; Lamberti, Pedro Walter; Monoparametric family of metrics derived from classical Jensen–Shannon divergence; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 495; 1-4-2018; 336-344
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/65552
identifier_str_mv Osán, Tristán Martín; Bussandri, Diego; Lamberti, Pedro Walter; Monoparametric family of metrics derived from classical Jensen–Shannon divergence; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 495; 1-4-2018; 336-344
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437117313225
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2017.12.073
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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